{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DLGEBIETSGA274TNFOQBJZ7UXY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ad9c4335d9c12f201128b1c84e01e964390c293b0b21579b663cc11c0e139bf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-16T13:15:08Z","title_canon_sha256":"affea5977abec0c70768ae04a480683e4fc39e500e8fad67afd0f90a01ee33d6"},"schema_version":"1.0","source":{"id":"1005.2744","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2744","created_at":"2026-05-18T03:52:51Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2744v1","created_at":"2026-05-18T03:52:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2744","created_at":"2026-05-18T03:52:51Z"},{"alias_kind":"pith_short_12","alias_value":"DLGEBIETSGA2","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DLGEBIETSGA274TN","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DLGEBIET","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:6cccadeb4542f7b06d0935db1ae35845352e94c47a2b75cf88a0d4e81f0669d5","target":"graph","created_at":"2026-05-18T03:52:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We make observations about constant mean curvature surfaces in Euclidean 3-space and their dual surfaces, and the resulting pairs of surfaces in hyperbolic 3-space under the Lawson correspondence.","authors_text":"Magdalena Toda, Wayne Rossman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-16T13:15:08Z","title":"Corresponding constant mean curvature surfaces in hyperbolic and Euclidean 3-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2744","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:733783a575e2b551c5070a7b4b0b9cb82df608fd176d254d52313026f5f8c64a","target":"record","created_at":"2026-05-18T03:52:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ad9c4335d9c12f201128b1c84e01e964390c293b0b21579b663cc11c0e139bf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-05-16T13:15:08Z","title_canon_sha256":"affea5977abec0c70768ae04a480683e4fc39e500e8fad67afd0f90a01ee33d6"},"schema_version":"1.0","source":{"id":"1005.2744","kind":"arxiv","version":1}},"canonical_sha256":"1acc40a0939181aff26d2ba014e7f4be357925a9446f1ad1aa8c748146227b83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1acc40a0939181aff26d2ba014e7f4be357925a9446f1ad1aa8c748146227b83","first_computed_at":"2026-05-18T03:52:51.597321Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:51.597321Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iNO/pr2B70GiGjG2SNcR039mW5gPPuAFdXKWa70/KIqPNgIg7LTP/KtpSNSPRlpcEX1N94QE3bTJ9OJSc13nCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:51.598112Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2744","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:733783a575e2b551c5070a7b4b0b9cb82df608fd176d254d52313026f5f8c64a","sha256:6cccadeb4542f7b06d0935db1ae35845352e94c47a2b75cf88a0d4e81f0669d5"],"state_sha256":"1643926aec780a258da5727d5839464210436c50d6d96efc5056c48198a69e30"}